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22020121200222 = 23247157199833099
BaseRepresentation
bin1010000000110111101011…
…00000001000011001011110
32212222002210002220020022200
411000123311200020121132
510341234202011401342
6114455523134152330
74431621062634165
oct500336540103136
985862702806280
1022020121200222
11701a754399412
1225777920526a6
13c3964737a032
14561acb1423dc
15282bd957094c
hex1406f580865e

22020121200222 has 96 divisors (see below), whose sum is σ = 49282197120000. Its totient is φ = 7102233762624.

The previous prime is 22020121200221. The next prime is 22020121200223. The reversal of 22020121200222 is 22200212102022.

22020121200222 is a `hidden beast` number, since 2 + 20 + 201 + 21 + 200 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (22020121200221) and next prime (22020121200223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22020121200195 and 22020121200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020121200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26015029 + ... + 26848127.

It is an arithmetic number, because the mean of its divisors is an integer number (513356220000).

Almost surely, 222020121200222 is an apocalyptic number.

22020121200222 is an abundant number, since it is smaller than the sum of its proper divisors (27262075919778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22020121200222 is a wasteful number, since it uses less digits than its factorization.

22020121200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833510 (or 833507 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22020121200222 its reverse (22200212102022), we get a palindrome (44220333302244).

The spelling of 22020121200222 in words is "twenty-two trillion, twenty billion, one hundred twenty-one million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 94 141 157 199 282 314 398 423 471 597 846 942 1194 1413 1791 2826 3582 7379 9353 14758 18706 22137 28059 31243 44274 56118 62486 66411 84177 93729 132822 168354 187458 281187 562374 833099 1468421 1666198 2499297 2936842 4405263 4998594 7497891 8810526 13215789 14995782 26431578 39155653 78311306 117466959 130796543 165786701 234933918 261593086 331573402 352400877 392389629 497360103 704801754 784779258 994720206 1177168887 1492080309 2354337774 2984160618 6147437521 7791974947 12294875042 15583949894 18442312563 23375924841 26028512057 36884625126 46751849682 52057024114 55326937689 70127774523 78085536171 110653875378 140255549046 156171072342 234256608513 468513217026 1223340066679 2446680133358 3670020200037 7340040400074 11010060600111 22020121200222